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Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall?

  • a)
    453m

  • b)
    856m

  • c)
    290m

  • d)
    470m

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Guddi was standing on a road near a mall. She was 1000m away from the ...


Angle of elevation for Guddi is same for the tree and the mall.


So, the ratio of object height to its shadow will be same for the both subjects.


Therefore by proportionality rule,


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Guddi was standing on a road near a mall. She was 1000m away from the ...
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Guddi was standing on a road near a mall. She was 1000m away from the ...
Given:
Distance between Guddi and mall = 1000m
Height of the tree = 10m
Distance between Guddi and tree = 20m

To Find:
Height of the mall

Explanation:
Let's assume that the height of the mall is 'h' meters.
Now, we can form a right-angled triangle with the tree, Guddi, and the top of the mall as vertices. Let's name this triangle as ABC.

From the given information, we can deduce that:
- AB = h (height of the mall)
- BC = 1000m (distance between Guddi and the mall)
- AC = AB + BC = h + 1000m (total distance from the top of the mall to Guddi)

We also know that the top of the tree is in line of sight with the top of the mall. This means that the angle of depression from the top of the tree to the base of the mall is the same as the angle of elevation from Guddi to the top of the mall. Let's call this angle as theta.

Using trigonometry, we can write:
tan(theta) = height of the tree / distance between Guddi and tree
tan(theta) = 10m / 20m
tan(theta) = 0.5

Now, we can use this value of tan(theta) to find the height of the mall:
tan(theta) = height of the mall / distance between Guddi and the top of the mall
tan(theta) = h / (h + 1000m)

Substituting the value of tan(theta) in the above equation, we get:
0.5 = h / (h + 1000m)

Solving for 'h', we get:
h = 470m

Therefore, the height of the mall is 470 meters.

Answer: d) 470m
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Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall?a)453mb)856mc)290md)470mCorrect answer is option 'D'. Can you explain this answer?
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Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall?a)453mb)856mc)290md)470mCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall?a)453mb)856mc)290md)470mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Guddi was standing on a road near a mall. She was 1000m away from the mall and able to see the top of the mall from the road in such a way that top of the tree, which is in between her and the mall, was exactly in line of sight with the top of the mall. The tree height is 10m and it is 20m away from Guddi. How tall is the mall?a)453mb)856mc)290md)470mCorrect answer is option 'D'. Can you explain this answer?.
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